scholarly journals Modeling the age distribution of retinoblastomas

2021 ◽  
Author(s):  
Alexandr N Tetearing

In this work, based on real data on the size of the eyeball (in a fetus, in a child, and in young people under 20), we constructed a model function of the growth of the retinal cell tissue. We used this function to construct a theoretical age distribution of retinoblastomas. We constructed theoretical age distributions for four different models of retinoblastoma: a complex mutational model, a third mutational model, a model with a sequence of key events, and a model of a single oncogenic event with two different latencies (hereditary and non-hereditary retinoblastoma). We compared the theoretical age distribution of retinoblastomas with the real age distribution based on SEER data (Surveillance Epidemiology and End Results; program of the American National Cancer Institute). In total, we examined 843 cases in women and 908 cases in men. For all models (separately for women and men), we obtained estimates of the following cancer parameters: the specific frequency of key events (events that trigger cancer); the duration of the latency period of cancer; the number of key events required for cancer to occur. For the composite age distributions, we calculated the theoretical mean age at diagnosis for hereditary and non-hereditary retinoblastomas. The best approximation accuracy (for male and female forms of retinoblastoma) is shown by a model with a sequence of key events.

2018 ◽  
Author(s):  
Ricardo Guedes ◽  
Vasco Furtado ◽  
Tarcísio Pequeno ◽  
Joel Rodrigues

UNSTRUCTURED The article investigates policies for helping emergency-centre authorities for dispatching resources aimed at reducing goals such as response time, the number of unattended calls, the attending of priority calls, and the cost of displacement of vehicles. Pareto Set is shown to be the appropriated way to support the representation of policies of dispatch since it naturally fits the challenges of multi-objective optimization. By means of the concept of Pareto dominance a set with objectives may be ordered in a way that guides the dispatch of resources. Instead of manually trying to identify the best dispatching strategy, a multi-objective evolutionary algorithm coupled with an Emergency Call Simulator uncovers automatically the best approximation of the optimal Pareto Set that would be the responsible for indicating the importance of each objective and consequently the order of attendance of the calls. The scenario of validation is a big metropolis in Brazil using one-year of real data from 911 calls. Comparisons with traditional policies proposed in the literature are done as well as other innovative policies inspired from different domains as computer science and operational research. The results show that strategy of ranking the calls from a Pareto Set discovered by the evolutionary method is a good option because it has the second best (lowest) waiting time, serves almost 100% of priority calls, is the second most economical, and is the second in attendance of calls. That is to say, it is a strategy in which the four dimensions are considered without major impairment to any of them.


2021 ◽  
Author(s):  
Alexandr N. Tetearing

In this paper, mathematical mutational models of the age distribution of cancers are obtained. These are two models -- a simple model and a complex model, which takes into account the growth of the cell population and the transmission of mutations to daughter cells. Using the resulting formulas, we approximated real age-specific cancer incidence datasets in women (colon, lung, mammary, stomach) and men (colon, lung, prostate, stomach). We estimated parameters such as the average number of mutations (per cell per unit of time) and number of mutations required for cancer to occur. The number of mutations averaged (over four types of cancer) required for cancer to occur is 72 (mutations per cell for women) and 221 (mutations per cell for men) for the complex mutational model. The average (for four types of cancer) mutation rate is estimated at 0.05 mutations per year (per cell for women) and at 0.07 mutations per year (per cell for men). The mutational models do not provide a quantitative explanation for the occurrence of cancer due to cellular mutations. As an alternative to mutational models, a model of a single carcinogenic event with an age shift is considered. The model approximates real data better and explains quantitatively the real age distributions of cancers.


2015 ◽  
Vol 20 (1) ◽  
pp. 1-5
Author(s):  
Brijesh P. Singh ◽  
Shweta Dixit ◽  
Tapan Kumar Roy

Infant Mortality Rate (IMR) is a sensitive and powerful index of development. Birth and death, registered through vital registration system in the developing countries suffer from age misreporting, omissions and under count. To overcome this defectiveness in data and to obtain reliable estimates of birth and death rates, India introduced Sample Registration System (SRS) in 1960 but still they suffer from considerable degree of errors. It is observed in retrospective surveys that events are misreported due to ignorance and digit preference of the respondents. Thus, the data on deaths collected, suffer from one defect or other as mentioned above. To resolve this problem attempts have been made to develop and fit suitable models to data on age distribution of deaths. In this paper an attempt has been made to develop a model with an idea of the majority of infant deaths occurs within the first month of their life. The model is used to give a functional shape to the phenomenon of infant deaths distribution and apply on real data taken from NFHS.Journal of Institute of Science and Technology, 2015, 20(1): 1-5


Author(s):  
Brijesh P. Singh

Population scientists are generally developing mathematical models/techniques in demography and to provide brief explanation of extensive data sets. The prime objective of the present paper is to propose a probability model to illustrate the distribution of female’s age at first menstrual onset. Menarcheal age distribution is used to evaluate risk associated to reproductive issues and may be used as a demographic indicator of female fecundity. The suitability of proposed model is tested with the real data sets. Parameters of the proposed distribution have been estimated through least square estimation technique. It is observed that older female’s age at menarche is somewhat higher than the younger female’s age at menarche. Also we have constructed a life table for menarcheal age using a probability model. This life table is enable to provide expected duration of getting menarche for a girl of a particular age.


2006 ◽  
Vol 64 (1) ◽  
pp. 49-59 ◽  
Author(s):  
David Brickman ◽  
Gudrun Marteinsdottir ◽  
Kai Logemann ◽  
Ingo H. Harms

Abstract Brickman, D., Marteinsdottir, G., Logemann, K., and Harms, I. H. 2007. Drift probabilities for Icelandic cod larvae – ICES Journal of Marine Science, 64, 49–59. The climatological distribution of juvenile Icelandic cod is characterized by a negative spatial age gradient, with a fairly abrupt decrease in age near the northwest corner of Iceland, and a spatial abundance gradient with higher concentrations of 0-group fish inshore. Flowfields from a high-resolution circulation model developed for Icelandic waters were used to investigate larval drift from the various spawning grounds in Icelandic coastal waters to understand the distribution of 0-group fish. To present the results clearly, drift probability density functions (pdfs) are derived describing the probability of drifting from a given spawning ground to a given spatial region over a specified time interval. These pdfs are used to determine the spawning grounds most probably contributing to the observed age distribution. The observed spatial gradient in age is likely due to differences in the spawning location of larvae, with older larvae originating in spawning grounds in the southwest and younger larvae from farther north. In general, the contribution from the main spawning grounds in the southwest is predicted to decrease with clockwise distance from the source region. The pdf technique was also used to investigate drift from regions on the south coast of Iceland corresponding to known or possible subpopulation spawning grounds, to see whether these spawning areas are associated with distinct drift patterns. This technique is a useful way to present larval drift results and to facilitate comparison with real data.


Blood ◽  
2013 ◽  
Vol 122 (21) ◽  
pp. 2922-2922
Author(s):  
Qiushi Chen ◽  
Turgay Ayer ◽  
Loretta J. Nastoupil ◽  
Christopher R. Flowers

Abstract Background DLBCL is the most commonly occurring form of non-Hodgkin lymphoma and is a highly curable disease, but one that is universally fatal if untreated or improperly treated. In a series of studies, we have reported racial disparities in the clinical presentation and outcomes for patients (pts) with DLBCL in the United States (Shenoy, Cancer2010; Flowers, CEBP 2012). These studies showed that black pts with DLBCL are diagnosed at an age a decade younger than whites, are more likely to have advanced stage disease, and are less likely to survive 5 years. Standard prognostic models for DLBCL patients do not consider these racial disparities, and the International Prognostic Index (IPI) did not predict survival in a DLBCL cohort enriched for African American pts (Flowers, Leuk Lymph 2012). To examine whether specific prognostic models can improve the prediction of survival for black pts in the US, we utilized Surveillance, Epidemiology, and End Results (SEER) data and compared general logistic regression (LR) and race-specific LR models based on the age-distribution for DLBCL in black pts. Methods Demographic and survival SEER data from 1992 to 2009, for white and black DLBCL pts were selected. Model inputs include age category, gender, stage, and presence of B-symptoms. LR was used to predict 5-year overall survival (OS). First, in the general model (GM), 13,000 (30%) of total general population were sampled as training set where race ratio (white:black≈12:1) was maintained, and 1450 individuals of the general population and 1450 individuals of the black population were sampled as different testing sets. The GM performance on the two different testing sets was compared. Second, we compared the performance of GM2 and black model (BM) on the same testing sets. GM2 was trained on 1450 individuals sampled from general population, BM was trained on 1450 (60%) individuals sampled from black population, and both models were tested on 1000 (40%) sampled individuals from black population. Age categories in GM were defined based on quartiles of age distribution for general SEER DLBCL population. Age categories in BM were defined based on quartiles of age distribution for black population. Model calibration was measured by Hosmer-Lemshow (H-L) goodness-of-fit test as primary endpoint, and receiver operating characteristics (ROC) analysis for discrimination as a secondary endpoint. Sampled testing sets were always distinct from the training sets. We utilized bootstrap methods to repeat sampling and comparisons 1,000 times, and obtained the average performance for each experiment. Results From 1992 to 2009, 30,646 white and 2,450 black patients of DLBCL in SEER were selected. As expected GM, GM2, and BM were well-calibrated with respect to each training set. As shown in the table, GM remained well calibrated on general population testing samples (H-L test p=0.30), but not on black population testing samples (p<0.0001). When tested on the same black population testing samples, GM2 did not fit (p<0.0001) while BM showed a good fitting to testing set (p=0.17; Figure). ROC analyses area-under-curve (AUC) of GM on the two testing sets were also different, although the difference between AUC of GM2 and BM was not significant. Influential factors in the LR model trained using all black population data include age ≥67 (third quartile) with odds ratio (OR) 0.284 (95% CI: 0.215-0.374), I/II stage with OR 0.505 (0.407-0.626), and presence of B-symptoms with OR 0.627 (0.496-0.793). Conclusions Population-based survival prediction models of DBLCL developed for the general population are not calibrated well and do not predict OS accurately for black pts. Given differences in baseline characteristics, specific risk model trained on black pts can improve risk prediction in the black population. Future studies should explore additional modification that include identified biological differences in DLBCL subtype by race (Flowers, ASH 2012) to further improve survival prediction for populations of black pts with DLBCL. Disclosures: No relevant conflicts of interest to declare.


Biometrika ◽  
2020 ◽  
Author(s):  
W Van Den Boom ◽  
G Reeves ◽  
D B Dunson

Abstract Posterior computation for high-dimensional data with many parameters can be challenging. This article focuses on a new method for approximating posterior distributions of a low- to moderate-dimensional parameter in the presence of a high-dimensional or otherwise computationally challenging nuisance parameter. The focus is on regression models and the key idea is to separate the likelihood into two components through a rotation. One component involves only the nuisance parameters, which can then be integrated out using a novel type of Gaussian approximation. We provide theory on approximation accuracy that holds for a broad class of forms of the nuisance component and priors. Applying our method to simulated and real data sets shows that it can outperform state-of-the-art posterior approximation approaches.


2009 ◽  
Vol 14 (32) ◽  
Author(s):  
C V Munayco ◽  
J Gómez ◽  
V A Laguna-Torres ◽  
J Arrasco ◽  
T J Kochel ◽  
...  

We present a preliminary analysis of 1,771 confirmed cases of influenza A(H1N1)v reported in Peru by 17 July including the frequency of the clinical characteristics, the spatial and age distribution of the cases and the estimate of the transmission potential. Age-specific frequency of cases was highest among school age children and young adults, with the lowest frequency of cases among seniors, a pattern that is consistent with reports from other countries. Estimates of the reproduction number lie in the range of 1.2 to 1.7, which is broadly consistent with previous estimates for this pandemic in other regions. Validation of these estimates will be possible as additional data become available.


Author(s):  
Glenn M. Cohen ◽  
Radharaman Ray

Retinal,cell aggregates develop in culture in a pattern similar to the in ovo retina, forming neurites first and then synapses. In the present study, we continuously exposed chick retinal cell aggregates to a high concentration (1 mM) of carbamylcholine (carbachol), an acetylcholine (ACh) analog that resists hydrolysis by acetylcholinesterase (AChE). This situation is similar to organophosphorus anticholinesterase poisoning in which the ACh level is elevated at synaptic junctions due to inhibition of AChE, Our objective was to determine whether continuous carbachol exposure either damaged cholino- ceptive neurites, cell bodies, and synaptic elements of the aggregates or influenced (hastened or retarded) their development.The retinal tissue was isolated aseptically from 11 day embryonic White Leghorn chicks and then enzymatically (trypsin) and mechanically (trituration) dissociated into single cells. After washing the cells by repeated suspension and low (about 200 x G) centrifugation twice, aggregate cell cultures (about l0 cells/culture) were initiated in 1.5 ml medium (BME, GIBCO) in 35 mm sterile culture dishes and maintained as experimental (containing 10-3 M carbachol) and control specimens.


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